22123122312000 has 896 divisors, whose sum is σ = 79327603031040. Its totient is φ = 5412126720000.

The previous prime is 22123122311987. The next prime is 22123122312007. The reversal of 22123122312000 is 21322132122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22123122312007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2578147710 + ... + 2578156290.

It is an arithmetic number, because the mean of its divisors is an integer number (88535271240).

Almost surely, 2^{22123122312000} is an apocalyptic number.

22123122312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22123122312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39663801515520).

22123122312000 is an abundant number, since it is smaller than the sum of its proper divisors (57204480719040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22123122312000 is a wasteful number, since it uses less digits than its factorization.

22123122312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8788 (or 8768 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 22123122312000 its reverse (21322132122), we get a palindrome (22144444444122).

The spelling of 22123122312000 in words is "twenty-two trillion, one hundred twenty-three billion, one hundred twenty-two million, three hundred twelve thousand".